Ibrahima SAKHO - Academia.edu (original) (raw)

Papers by Ibrahima SAKHO

Research paper thumbnail of High Lying Precise Resonance Energies from Photoionization Studies of Se3+ and Rb+ Ions Using the Screening Constant per Unit Nuclear Charge Formalism

Atoms

Resonance energies of the 4s4p (3P0,1)np, 4s4p (3P2)np (2P3/2, 4D7/2, 4D5/2) and 4s4p (1P1)np (2D... more Resonance energies of the 4s4p (3P0,1)np, 4s4p (3P2)np (2P3/2, 4D7/2, 4D5/2) and 4s4p (1P1)np (2D3/2, 2D5/2) Rydberg series of Se3+ ions along with resonance energies of the 4s24p5 (2P°1/2) nd1P°1 and 4s4p6 (2S1/2) np 1P°1 series of Rb+ ions are reported. Calculations are done in the framework of the screening constant per unit nuclear charge (SCUNC) formalism. The fine structure splitting of the 4s4p (3P2)np (2P3/2, 4D7/2, 4D5/2) series from n = 10 to n = 27 and for the 4s4p (1P1)np (2D3/2, 2D5/2) series from n = 8 to 11 are resolved in this paper. Very good agreements are obtained between the present calculations and the available experimental and theoretical literature data. The present predicted data up to n = 40 may be of great importance for the atomic physics community in connection with the understanding of the chemical evolution of the Se and Rb elements in the Universe.

Research paper thumbnail of Screening Constant per Unit Nuclear Charge Studies of Rydberg Resonances Due to the 4p → nd and ns Transitions in Se+ Ions

Atoms

Calculations of high-lying energy resonances of 12 Rydberg series due to the 4p → nd and 4p → ns ... more Calculations of high-lying energy resonances of 12 Rydberg series due to the 4p → nd and 4p → ns transitions from the 4s24p3 3S°3/2 ground-state and the 4s24p3 2P°3/2,1/2 and 4s24p3 2D°5/2,3/2 metastable states of the Se+ ion are reported. The calculations believed to be the first theoretical ones are performed using the Screening Constant per Unit Nuclear Charge (SCUNC) method up to n = 40. Analysis of the present results is achieved in the framework of the standard quantum-defect theory and of the SCUNC-procedure by calculating the effective nuclear charge. For many resonances, the SCUNC-method reproduces the ALS measurements excellently [Esteves et al., Phys. Rev. A, 84 013406 (2011)] up to n = 25. However, for some resonances belonging to the 4s24p2 (1D2)nd (2D) and 4s24p2 (1D2)ns (2D) and to the 4s24p2 (1D2)nd (2S) and 4s24p2 (1D2)nd (2P1/2) Rydberg series, the ALS data overlap at high n values. In addition, negative quantum-defect values were determined where positive values a...

Research paper thumbnail of Variational Calculation of the Doubly-Excited States Nsnp of He-Like Ions via the Modified Atomic Orbitals Theory

Journal of Modern Physics, 2021

In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory... more In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory (MAOT) applied to the calculations of energies of doubly excited states 2snp, 3snp, and 4snp Helium-like systems. Then we also applied the variational procedure of the Modified Atomic Orbital Theory to the computations of total energies, excitation energies of doubly-excited states 2snp, 3snp, 4snp types of Helium-like systems. The results obtained in this work are in good agreement with the experimental and theoretical values available.

Research paper thumbnail of Équations de Maxwell

Ce chapitre introduit les équations fondamentales de l’électromagnétisme indispensables pour la c... more Ce chapitre introduit les équations fondamentales de l’électromagnétisme indispensables pour la compréhension de la propagation des ondes électromagnétiques et du rayonnement des antennes. Il analyse les équations de Maxwell décrivant les propriétés du champ électromagnétique. Ces équations expriment les relations locales entre les champs électrique et magnétique et leurs sources constituées par les densités de charges libres et de courants.

Research paper thumbnail of Maxwell's Equations

Research paper thumbnail of L Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism

The present work deals with an ab initio calculation of total energies of the doubly excited np, ... more The present work deals with an ab initio calculation of total energies of the doubly excited np, nd and nf states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is presented to express analytically the total energies of the doubly np 2 , nd 2 and nf 2 excited states in the He-like systems. The present results obtained up to Z = 10 and n = 4 agree very well with various computational methods.

Research paper thumbnail of Auger 1 s 2 nl ( s , p , d , f ) Transition Energies in Be-Like Ions

We use the Screening constant buy unit nuclear charge (SCUNC) formalism to report Kshell Photoion... more We use the Screening constant buy unit nuclear charge (SCUNC) formalism to report Kshell Photoionization from the ground state of Be-like (Z = 6-18) ions. Accurate Auger 1s2p 3 1 P° →1s 2 nl and 1s2s 2 2p 1 P°→ 1s 2 nl (s, p, d, f) transition energies in Be-like (Z = 614) ions are listed as useful data for modeling observations form Chandra and XMMNewton satellites. The results obtained for the Be-like (Z = 6-10) ions are in very good agreements with available theoretical and experimental literature data. New data for Belike Na 7+ , Mg 8+ , Al 9+ and Si 10+ ions are tabulated.

Research paper thumbnail of Calculations Energy of the (nl2) 1Lπ Doubly Excited States of Two-Electron Systems via the Screening Constant by Unit Nuclear Charge Formalism

Journal of Modern Physics, 2020

In this work, the total energies of doubly excited states (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) ... more In this work, the total energies of doubly excited states (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (ng2) 1Ke, and (nh2) 1Me of the helium isoelectronic sequence with Z ≤ 10 are calculated in the framework of the variational method of the Screening Constant by Unit Nuclear Charge (SCUNC). These calculations are performed using a new wavefunction correlated to Hylleraas-type. The possibility of using the SCUNC method in the investigation of high-lying Doubly Excited States(DES) in two-electron systems is demonstrated in the present work in the case of the (nl2) 1Lπ doubly excited states, where accurate total energies are tabulated up to n = 20. All the results obtained in this paper are in agreement with the values of the available literature and may be useful for future experimental and theoretical studies on the doubly excited (nl2) 1Lπ states of two-electron systems.

Research paper thumbnail of Introduction to Quantum Mechanics 2

Introduction to Quantum Mechanics 2, 2020

Research paper thumbnail of Modified Atomic Orbital Theory Applied to the Study of High Lying (2pns) 1,3P° and (2pnd) 1,3P° Rydberg Series of B+

International Journal of Atomic and Nuclear Physics, 2017

Divalence atomic systems such as the Be isoelectronic sequence are an interesting area for the sy... more Divalence atomic systems such as the Be isoelectronic sequence are an interesting area for the systematic studies of the photoionization process because of their relatively simple quasi-two-electron structure. Many works have shown that relativistic effects play an important role in the photoionization of small atoms, such as Be [1]. Therefore, it is worthwhile to investigate the interplay between electron-correlation and relativistic effects on the photoionization of atoms or ions with a low nuclear charge. Considerable theoretical and experimental efforts have been made recently to investigate the photoionization of the B + ion. On the experimental side, Janniti, et al. [2] investigated the absorption spectrum of B + for photon energies between 400 and 1700 Å by using two-laser produced plasma; whereas Schippers, et al. [3] studied the photoionization of the B + valence shell using a photon-ion merged-beams arrangement at the Advanced Light Source (ALS). On the other hand of

Research paper thumbnail of « Principe 7 » De La Pédagogie, Effet Zeeman-Effet Prérequis, Architecture Pyramidale Du Système Lmd: Mise En Œuvre D’une Pédagogie Discriminatoire Pour Un Enseignement De Qualité

European Scientific Journal, ESJ, 2018

In this work, we demonstrate by analogy with the quantified levels of atomic systems, that the le... more In this work, we demonstrate by analogy with the quantified levels of atomic systems, that the levels of education from elementary to Superior are "quantified". The transition of a learner from one level of instruction to another is analogous to an electronic transition between atomic levels. The notions of ground state, excited states and ionized state of atomic systems have their equivalents in the school and university systems. It is demonstrated in this work that the number 7 is revealed in all countable elements of an educational system. This leads to the statement of the "principle 7 " of pedagogy. Thus, there are 7 levels of instruction or teaching-learning in the elementary, 7 levels at the middle-level and 7 levels of teaching-learning at the higher level. In addition, there are 7 degrees, 7 hours of work of the learner in the school space. The application of "Principle 7 of pedagogy" to the determination of the number of classes per cycle and ...

Research paper thumbnail of Photoionization study of the (3d94s 3D3,2,1)np and the (3d94s 1D2)np Rydberg series of Cu-like Zn+ ion via the Screening constant by unit nuclear charge method

Radiation Physics and Chemistry, 2019

Accurate high lying resonance energies of the (3d 9 4s 3 D 3,2,1)np and the (3d 9 4s 1 D 2)np (n ... more Accurate high lying resonance energies of the (3d 9 4s 3 D 3,2,1)np and the (3d 9 4s 1 D 2)np (n = 5-40) Rydberg series originating from the (3d 10 4s 1 S 1/) ground state of the Cu-like Zn + ion are reported. Calculations are performed in the framework of the Screening Constant by Unit Nuclear Charge (SCUNC) formalism. The results obtained compared very well with high resolution ALS measurements along with DARC, Dirac Atomic R-matrix Codes computations [Hinojoha et al., MNRAS, 470, 4048 (2017)]. Analysis of the present results is achieved in the framework of the standard quantum-defect theory and of the SCUNC-procedure based on the calculation of the effective charge. It is demonstrated that the SCUNC-method can be used to assist fruitfully experiments for identifying narrow resonance energies due to overlapping peaks New high lying accurate resonance energies (n = 16-40) are tabulated as benchmarked data for interpreting spectra from this trans-Fe element in astrophysical objects.

Research paper thumbnail of Variationnal Calculation of the Doubly (nl) <sup>2</sup> <sup>1</sup>L<sup>p</sup> Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism

International Journal of Applied Mathematics and Theoretical Physics, 2018

The present work deals with an ab initio calculation of total energies of the doubly excited np 2... more The present work deals with an ab initio calculation of total energies of the doubly excited np 2 , nd 2 and nf 2 states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is presented to express analytically the total energies of the doubly np 2 , nd 2 and nf 2 excited states in the He-like systems. The present results obtained up to Z = 10 and n = 4 agree very well with various computational methods.

Research paper thumbnail of Photoionization Study of Cl II, Ar II and Kr II Ions Using the Modified Atomic Orbital Theory

Journal of Modern Physics, 2018

Resonance energies of the Cl II-[3s 2 3p 3 (2 D 5/2)]nd and [3s 2 3p 3 (2 P 3/2)]nd, Ar II-3s 2 3... more Resonance energies of the Cl II-[3s 2 3p 3 (2 D 5/2)]nd and [3s 2 3p 3 (2 P 3/2)]nd, Ar II-3s 2 3p 4 (1 D 2)ns, nd and of the Kr II [4s 2 4p 4 (1 D 2)]ns, nd and 4s 2 4p 4 (3 P 2 , 3 P 1)]ns, 4s 2 4p 4 (3 D 2)]ns, nd and 4s 2 4p 4 (3 D 2 , 1 S 0)]ns, nd Rydberg series are reported. Natural widths of the Ar II-[3s 2 3p 4 (1 D 2)]ns, nd series are also reported. Calculations are done in the framework of the Modified Atomic Orbital Theory (MAOT). Excellent agreements are obtained with available theoretical and experimental data. High lying accurate resonance energies up to n = 40 are tabulated. The possibility to use the MAOT formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated.

Research paper thumbnail of Screening-Constant-by-Unit-Nuclear-Charge method investigations of high lying () , Rydberg series in the photoionization spectra of the halogen-like ion Kr+

Atomic Data and Nuclear Data Tables, 2014

Energy positions and quantum defects of the 4s 2 4p 4 (1 D 2 , 1 S 0) ns, nd Rydberg series origi... more Energy positions and quantum defects of the 4s 2 4p 4 (1 D 2 , 1 S 0) ns, nd Rydberg series originating from the 4s 2 4p 5 2 P • 3/2 ground state and from the 4s 2 4p 5 2 P • 1/2 metastable state of Kr + are reported. Calculations are performed using the Screening Constant by Unit Nuclear Charge (SCUNC) method. The results obtained are in suitable agreement with recent experimental data from the combined ASTRID merged-beam set up and Fourier Transform Ion Cyclotron Resonance device (Bizau et al., 2011), ALS measurements (Hinojosa et al., 2012), and multi-channel R-matrix eigenphase derivative calculations (McLaughlin and Balance, 2012). In addition, analysis of the 4s 2 4p 4 (1 D 2)nd and the 4s 2 4p 4 (1 S 0)nd resonances is given via the SCUNC procedure. The excellent results obtained from our work point out that the SCUNC formalism may be used to confirm the results of the analysis from the standard quantum-defect expansion formulas. Eventual errors occurring in the analysis can then be automatically detected and corrected via the SCUNC procedure.

Research paper thumbnail of Modified atomic orbital theory applied to the calculation of high-lying <sub>2</sub>(K,T)<sub>n</sub><sup>±1,3</sup>P° rydberg series of he-like ions

Natural Science, 2012

P intershell Rydberg series of the helium-like ions are investigated in the framework of the modi... more P intershell Rydberg series of the helium-like ions are investigated in the framework of the modified Atomic Orbital Theory (MAOT). Highlying energy resonances of He and excitation energy of the helium-like Li + up to n = 10 are tabulated. In addition, total energy positions for lowlying states (n  4) of the helium-isoelectronic sequence with Z = 2, 3, 10 are also presented. All the current results agreed well with the published values. The data listed in this paper may be useful guideline for future experimental and theoretical studies in high-lying 1,3 P˚ autoionizing states of two-electron systems.

Research paper thumbnail of Determination of the Vibro-Rotational Constants, the Dipole Moment’s Function and the Intensities of the HTO’s ν1 (ν3 by Usual Convention) Band

Journal of Modern Physics, 2012

In the first part of this paper, an analysis of the high-resolution spectrum of the HTO molecule ... more In the first part of this paper, an analysis of the high-resolution spectrum of the HTO molecule ν 1 (ν 3) band, from 3630 to 3950 cm-1 , was undertaken. The rotational transition of this band was assigned using combination differences. Their wavenumbers were analyzed with a least squares fit program in order to obtain spectroscopic constants. A perturbed state has been evidenced. In the second part, with a view towards building a spectroscopic data base, a calculation of the dipolar momentum function was undertaken.

Research paper thumbnail of Screening-constant-by-unit-nuclear-charge calculations of high lying and states of the ion

Atomic Data and Nuclear Data Tables, 2013

We report in this paper energy positions of the (2pns) 1,3 P • and (2pnd) 1,3 P • Rydberg states ... more We report in this paper energy positions of the (2pns) 1,3 P • and (2pnd) 1,3 P • Rydberg states (n = 3-60) and resonance widths of the (2pns) 1 P • and (2pnd) 1 P • (n = 20) members of these series of the B + ion. Calculations are performed in the framework of the screening-constant-by-unit-nuclear-charge method. Along all the series investigated, the quantum defect is almost constant up to n = 60. The present results compare very well to available theoretical and experimental literature values up to n = 20. The data presented in this work may be a useful guideline for investigators considering the photoionization spectrum of the B + ion.

Research paper thumbnail of Most Intense X-Ray Lines of the Helium Isoelectronic Sequence for Plasmas Diagnostic

Journal of Modern Physics, 2020

We report accurate wavelengths for the three most intense lines (resonance line: 1s 2 1 S0-1s2p 1... more We report accurate wavelengths for the three most intense lines (resonance line: 1s 2 1 S0-1s2p 1 P1, intercombination line: 1s 2 1 S0-1s2p 3 P1 and forbidden line: 1s 2 1 S0-1s2s 3 S1) along with wavelengths for the 1s 2 1 S0-1snp 1 P1 and 1 S0-1snp 3 P2 (2 ≤ n ≤ 25) transitions in He-like systems (Z = 2-13). The first spectral lines that belong to the above transitions are established in the framework of the Screening Constant per Unit Nuclear Charge method. The results obtained agree excellently with various experimental and theoretical literature data. The uncertainties in wavelengths between the present calculations and the available literature data are less than 0.004 Å. A host of new data listed in this paper may be of interest in astrophysical and laboratory plasmas diagnostic.

Research paper thumbnail of Modified Atomic Orbital Calculations of Energy and Width of the 2pns 1P\(^\circ\) and 2pnd1P\(^\circ\) Rydbergs Series of Be-like N\(^{3+}\), O\(^{4+}\), F\(^{5+}\) and Ne\(^{6+}\) Ions

Journal of Atomic, Molecular, Condensate and Nano Physics, 2018

We report accurate energy resonances and natural widths belonging to the 1s 2 2s 2 1 S 0 → (2pnl)... more We report accurate energy resonances and natural widths belonging to the 1s 2 2s 2 1 S 0 → (2pnl) 1 P • and 1s 2 2s 2p 3 P 0 → 1s 2 2p [ 2 P • ] np 3 P transitions in the Photoionization spectra of the Be-like N 3+ , O 4+ , F 5+ and Ne 6+ ions. Calculations are performed in the framework of the Modified Orbital Atomic Theory (MAOT). Excellent agreements are obtained with available experimental and theoretical literature data. The present calculations provide benchmark data for the diagnostic and for the modeling of astrophysical and laboratory plasmas.

Research paper thumbnail of High Lying Precise Resonance Energies from Photoionization Studies of Se3+ and Rb+ Ions Using the Screening Constant per Unit Nuclear Charge Formalism

Atoms

Resonance energies of the 4s4p (3P0,1)np, 4s4p (3P2)np (2P3/2, 4D7/2, 4D5/2) and 4s4p (1P1)np (2D... more Resonance energies of the 4s4p (3P0,1)np, 4s4p (3P2)np (2P3/2, 4D7/2, 4D5/2) and 4s4p (1P1)np (2D3/2, 2D5/2) Rydberg series of Se3+ ions along with resonance energies of the 4s24p5 (2P°1/2) nd1P°1 and 4s4p6 (2S1/2) np 1P°1 series of Rb+ ions are reported. Calculations are done in the framework of the screening constant per unit nuclear charge (SCUNC) formalism. The fine structure splitting of the 4s4p (3P2)np (2P3/2, 4D7/2, 4D5/2) series from n = 10 to n = 27 and for the 4s4p (1P1)np (2D3/2, 2D5/2) series from n = 8 to 11 are resolved in this paper. Very good agreements are obtained between the present calculations and the available experimental and theoretical literature data. The present predicted data up to n = 40 may be of great importance for the atomic physics community in connection with the understanding of the chemical evolution of the Se and Rb elements in the Universe.

Research paper thumbnail of Screening Constant per Unit Nuclear Charge Studies of Rydberg Resonances Due to the 4p → nd and ns Transitions in Se+ Ions

Atoms

Calculations of high-lying energy resonances of 12 Rydberg series due to the 4p → nd and 4p → ns ... more Calculations of high-lying energy resonances of 12 Rydberg series due to the 4p → nd and 4p → ns transitions from the 4s24p3 3S°3/2 ground-state and the 4s24p3 2P°3/2,1/2 and 4s24p3 2D°5/2,3/2 metastable states of the Se+ ion are reported. The calculations believed to be the first theoretical ones are performed using the Screening Constant per Unit Nuclear Charge (SCUNC) method up to n = 40. Analysis of the present results is achieved in the framework of the standard quantum-defect theory and of the SCUNC-procedure by calculating the effective nuclear charge. For many resonances, the SCUNC-method reproduces the ALS measurements excellently [Esteves et al., Phys. Rev. A, 84 013406 (2011)] up to n = 25. However, for some resonances belonging to the 4s24p2 (1D2)nd (2D) and 4s24p2 (1D2)ns (2D) and to the 4s24p2 (1D2)nd (2S) and 4s24p2 (1D2)nd (2P1/2) Rydberg series, the ALS data overlap at high n values. In addition, negative quantum-defect values were determined where positive values a...

Research paper thumbnail of Variational Calculation of the Doubly-Excited States Nsnp of He-Like Ions via the Modified Atomic Orbitals Theory

Journal of Modern Physics, 2021

In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory... more In this paper, we have declined the formalism of the method of the Modified Atomic Orbital Theory (MAOT) applied to the calculations of energies of doubly excited states 2snp, 3snp, and 4snp Helium-like systems. Then we also applied the variational procedure of the Modified Atomic Orbital Theory to the computations of total energies, excitation energies of doubly-excited states 2snp, 3snp, 4snp types of Helium-like systems. The results obtained in this work are in good agreement with the experimental and theoretical values available.

Research paper thumbnail of Équations de Maxwell

Ce chapitre introduit les équations fondamentales de l’électromagnétisme indispensables pour la c... more Ce chapitre introduit les équations fondamentales de l’électromagnétisme indispensables pour la compréhension de la propagation des ondes électromagnétiques et du rayonnement des antennes. Il analyse les équations de Maxwell décrivant les propriétés du champ électromagnétique. Ces équations expriment les relations locales entre les champs électrique et magnétique et leurs sources constituées par les densités de charges libres et de courants.

Research paper thumbnail of Maxwell's Equations

Research paper thumbnail of L Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism

The present work deals with an ab initio calculation of total energies of the doubly excited np, ... more The present work deals with an ab initio calculation of total energies of the doubly excited np, nd and nf states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is presented to express analytically the total energies of the doubly np 2 , nd 2 and nf 2 excited states in the He-like systems. The present results obtained up to Z = 10 and n = 4 agree very well with various computational methods.

Research paper thumbnail of Auger 1 s 2 nl ( s , p , d , f ) Transition Energies in Be-Like Ions

We use the Screening constant buy unit nuclear charge (SCUNC) formalism to report Kshell Photoion... more We use the Screening constant buy unit nuclear charge (SCUNC) formalism to report Kshell Photoionization from the ground state of Be-like (Z = 6-18) ions. Accurate Auger 1s2p 3 1 P° →1s 2 nl and 1s2s 2 2p 1 P°→ 1s 2 nl (s, p, d, f) transition energies in Be-like (Z = 614) ions are listed as useful data for modeling observations form Chandra and XMMNewton satellites. The results obtained for the Be-like (Z = 6-10) ions are in very good agreements with available theoretical and experimental literature data. New data for Belike Na 7+ , Mg 8+ , Al 9+ and Si 10+ ions are tabulated.

Research paper thumbnail of Calculations Energy of the (nl2) 1Lπ Doubly Excited States of Two-Electron Systems via the Screening Constant by Unit Nuclear Charge Formalism

Journal of Modern Physics, 2020

In this work, the total energies of doubly excited states (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) ... more In this work, the total energies of doubly excited states (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (ng2) 1Ke, and (nh2) 1Me of the helium isoelectronic sequence with Z ≤ 10 are calculated in the framework of the variational method of the Screening Constant by Unit Nuclear Charge (SCUNC). These calculations are performed using a new wavefunction correlated to Hylleraas-type. The possibility of using the SCUNC method in the investigation of high-lying Doubly Excited States(DES) in two-electron systems is demonstrated in the present work in the case of the (nl2) 1Lπ doubly excited states, where accurate total energies are tabulated up to n = 20. All the results obtained in this paper are in agreement with the values of the available literature and may be useful for future experimental and theoretical studies on the doubly excited (nl2) 1Lπ states of two-electron systems.

Research paper thumbnail of Introduction to Quantum Mechanics 2

Introduction to Quantum Mechanics 2, 2020

Research paper thumbnail of Modified Atomic Orbital Theory Applied to the Study of High Lying (2pns) 1,3P° and (2pnd) 1,3P° Rydberg Series of B+

International Journal of Atomic and Nuclear Physics, 2017

Divalence atomic systems such as the Be isoelectronic sequence are an interesting area for the sy... more Divalence atomic systems such as the Be isoelectronic sequence are an interesting area for the systematic studies of the photoionization process because of their relatively simple quasi-two-electron structure. Many works have shown that relativistic effects play an important role in the photoionization of small atoms, such as Be [1]. Therefore, it is worthwhile to investigate the interplay between electron-correlation and relativistic effects on the photoionization of atoms or ions with a low nuclear charge. Considerable theoretical and experimental efforts have been made recently to investigate the photoionization of the B + ion. On the experimental side, Janniti, et al. [2] investigated the absorption spectrum of B + for photon energies between 400 and 1700 Å by using two-laser produced plasma; whereas Schippers, et al. [3] studied the photoionization of the B + valence shell using a photon-ion merged-beams arrangement at the Advanced Light Source (ALS). On the other hand of

Research paper thumbnail of « Principe 7 » De La Pédagogie, Effet Zeeman-Effet Prérequis, Architecture Pyramidale Du Système Lmd: Mise En Œuvre D’une Pédagogie Discriminatoire Pour Un Enseignement De Qualité

European Scientific Journal, ESJ, 2018

In this work, we demonstrate by analogy with the quantified levels of atomic systems, that the le... more In this work, we demonstrate by analogy with the quantified levels of atomic systems, that the levels of education from elementary to Superior are "quantified". The transition of a learner from one level of instruction to another is analogous to an electronic transition between atomic levels. The notions of ground state, excited states and ionized state of atomic systems have their equivalents in the school and university systems. It is demonstrated in this work that the number 7 is revealed in all countable elements of an educational system. This leads to the statement of the "principle 7 " of pedagogy. Thus, there are 7 levels of instruction or teaching-learning in the elementary, 7 levels at the middle-level and 7 levels of teaching-learning at the higher level. In addition, there are 7 degrees, 7 hours of work of the learner in the school space. The application of "Principle 7 of pedagogy" to the determination of the number of classes per cycle and ...

Research paper thumbnail of Photoionization study of the (3d94s 3D3,2,1)np and the (3d94s 1D2)np Rydberg series of Cu-like Zn+ ion via the Screening constant by unit nuclear charge method

Radiation Physics and Chemistry, 2019

Accurate high lying resonance energies of the (3d 9 4s 3 D 3,2,1)np and the (3d 9 4s 1 D 2)np (n ... more Accurate high lying resonance energies of the (3d 9 4s 3 D 3,2,1)np and the (3d 9 4s 1 D 2)np (n = 5-40) Rydberg series originating from the (3d 10 4s 1 S 1/) ground state of the Cu-like Zn + ion are reported. Calculations are performed in the framework of the Screening Constant by Unit Nuclear Charge (SCUNC) formalism. The results obtained compared very well with high resolution ALS measurements along with DARC, Dirac Atomic R-matrix Codes computations [Hinojoha et al., MNRAS, 470, 4048 (2017)]. Analysis of the present results is achieved in the framework of the standard quantum-defect theory and of the SCUNC-procedure based on the calculation of the effective charge. It is demonstrated that the SCUNC-method can be used to assist fruitfully experiments for identifying narrow resonance energies due to overlapping peaks New high lying accurate resonance energies (n = 16-40) are tabulated as benchmarked data for interpreting spectra from this trans-Fe element in astrophysical objects.

Research paper thumbnail of Variationnal Calculation of the Doubly (nl) <sup>2</sup> <sup>1</sup>L<sup>p</sup> Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism

International Journal of Applied Mathematics and Theoretical Physics, 2018

The present work deals with an ab initio calculation of total energies of the doubly excited np 2... more The present work deals with an ab initio calculation of total energies of the doubly excited np 2 , nd 2 and nf 2 states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is presented to express analytically the total energies of the doubly np 2 , nd 2 and nf 2 excited states in the He-like systems. The present results obtained up to Z = 10 and n = 4 agree very well with various computational methods.

Research paper thumbnail of Photoionization Study of Cl II, Ar II and Kr II Ions Using the Modified Atomic Orbital Theory

Journal of Modern Physics, 2018

Resonance energies of the Cl II-[3s 2 3p 3 (2 D 5/2)]nd and [3s 2 3p 3 (2 P 3/2)]nd, Ar II-3s 2 3... more Resonance energies of the Cl II-[3s 2 3p 3 (2 D 5/2)]nd and [3s 2 3p 3 (2 P 3/2)]nd, Ar II-3s 2 3p 4 (1 D 2)ns, nd and of the Kr II [4s 2 4p 4 (1 D 2)]ns, nd and 4s 2 4p 4 (3 P 2 , 3 P 1)]ns, 4s 2 4p 4 (3 D 2)]ns, nd and 4s 2 4p 4 (3 D 2 , 1 S 0)]ns, nd Rydberg series are reported. Natural widths of the Ar II-[3s 2 3p 4 (1 D 2)]ns, nd series are also reported. Calculations are done in the framework of the Modified Atomic Orbital Theory (MAOT). Excellent agreements are obtained with available theoretical and experimental data. High lying accurate resonance energies up to n = 40 are tabulated. The possibility to use the MAOT formalism report rapidly with an excellent accuracy the position of the excitation resonances as well as their width within simple analytical formulae is demonstrated.

Research paper thumbnail of Screening-Constant-by-Unit-Nuclear-Charge method investigations of high lying () , Rydberg series in the photoionization spectra of the halogen-like ion Kr+

Atomic Data and Nuclear Data Tables, 2014

Energy positions and quantum defects of the 4s 2 4p 4 (1 D 2 , 1 S 0) ns, nd Rydberg series origi... more Energy positions and quantum defects of the 4s 2 4p 4 (1 D 2 , 1 S 0) ns, nd Rydberg series originating from the 4s 2 4p 5 2 P • 3/2 ground state and from the 4s 2 4p 5 2 P • 1/2 metastable state of Kr + are reported. Calculations are performed using the Screening Constant by Unit Nuclear Charge (SCUNC) method. The results obtained are in suitable agreement with recent experimental data from the combined ASTRID merged-beam set up and Fourier Transform Ion Cyclotron Resonance device (Bizau et al., 2011), ALS measurements (Hinojosa et al., 2012), and multi-channel R-matrix eigenphase derivative calculations (McLaughlin and Balance, 2012). In addition, analysis of the 4s 2 4p 4 (1 D 2)nd and the 4s 2 4p 4 (1 S 0)nd resonances is given via the SCUNC procedure. The excellent results obtained from our work point out that the SCUNC formalism may be used to confirm the results of the analysis from the standard quantum-defect expansion formulas. Eventual errors occurring in the analysis can then be automatically detected and corrected via the SCUNC procedure.

Research paper thumbnail of Modified atomic orbital theory applied to the calculation of high-lying <sub>2</sub>(K,T)<sub>n</sub><sup>±1,3</sup>P° rydberg series of he-like ions

Natural Science, 2012

P intershell Rydberg series of the helium-like ions are investigated in the framework of the modi... more P intershell Rydberg series of the helium-like ions are investigated in the framework of the modified Atomic Orbital Theory (MAOT). Highlying energy resonances of He and excitation energy of the helium-like Li + up to n = 10 are tabulated. In addition, total energy positions for lowlying states (n  4) of the helium-isoelectronic sequence with Z = 2, 3, 10 are also presented. All the current results agreed well with the published values. The data listed in this paper may be useful guideline for future experimental and theoretical studies in high-lying 1,3 P˚ autoionizing states of two-electron systems.

Research paper thumbnail of Determination of the Vibro-Rotational Constants, the Dipole Moment’s Function and the Intensities of the HTO’s ν1 (ν3 by Usual Convention) Band

Journal of Modern Physics, 2012

In the first part of this paper, an analysis of the high-resolution spectrum of the HTO molecule ... more In the first part of this paper, an analysis of the high-resolution spectrum of the HTO molecule ν 1 (ν 3) band, from 3630 to 3950 cm-1 , was undertaken. The rotational transition of this band was assigned using combination differences. Their wavenumbers were analyzed with a least squares fit program in order to obtain spectroscopic constants. A perturbed state has been evidenced. In the second part, with a view towards building a spectroscopic data base, a calculation of the dipolar momentum function was undertaken.

Research paper thumbnail of Screening-constant-by-unit-nuclear-charge calculations of high lying and states of the ion

Atomic Data and Nuclear Data Tables, 2013

We report in this paper energy positions of the (2pns) 1,3 P • and (2pnd) 1,3 P • Rydberg states ... more We report in this paper energy positions of the (2pns) 1,3 P • and (2pnd) 1,3 P • Rydberg states (n = 3-60) and resonance widths of the (2pns) 1 P • and (2pnd) 1 P • (n = 20) members of these series of the B + ion. Calculations are performed in the framework of the screening-constant-by-unit-nuclear-charge method. Along all the series investigated, the quantum defect is almost constant up to n = 60. The present results compare very well to available theoretical and experimental literature values up to n = 20. The data presented in this work may be a useful guideline for investigators considering the photoionization spectrum of the B + ion.

Research paper thumbnail of Most Intense X-Ray Lines of the Helium Isoelectronic Sequence for Plasmas Diagnostic

Journal of Modern Physics, 2020

We report accurate wavelengths for the three most intense lines (resonance line: 1s 2 1 S0-1s2p 1... more We report accurate wavelengths for the three most intense lines (resonance line: 1s 2 1 S0-1s2p 1 P1, intercombination line: 1s 2 1 S0-1s2p 3 P1 and forbidden line: 1s 2 1 S0-1s2s 3 S1) along with wavelengths for the 1s 2 1 S0-1snp 1 P1 and 1 S0-1snp 3 P2 (2 ≤ n ≤ 25) transitions in He-like systems (Z = 2-13). The first spectral lines that belong to the above transitions are established in the framework of the Screening Constant per Unit Nuclear Charge method. The results obtained agree excellently with various experimental and theoretical literature data. The uncertainties in wavelengths between the present calculations and the available literature data are less than 0.004 Å. A host of new data listed in this paper may be of interest in astrophysical and laboratory plasmas diagnostic.

Research paper thumbnail of Modified Atomic Orbital Calculations of Energy and Width of the 2pns 1P\(^\circ\) and 2pnd1P\(^\circ\) Rydbergs Series of Be-like N\(^{3+}\), O\(^{4+}\), F\(^{5+}\) and Ne\(^{6+}\) Ions

Journal of Atomic, Molecular, Condensate and Nano Physics, 2018

We report accurate energy resonances and natural widths belonging to the 1s 2 2s 2 1 S 0 → (2pnl)... more We report accurate energy resonances and natural widths belonging to the 1s 2 2s 2 1 S 0 → (2pnl) 1 P • and 1s 2 2s 2p 3 P 0 → 1s 2 2p [ 2 P • ] np 3 P transitions in the Photoionization spectra of the Be-like N 3+ , O 4+ , F 5+ and Ne 6+ ions. Calculations are performed in the framework of the Modified Orbital Atomic Theory (MAOT). Excellent agreements are obtained with available experimental and theoretical literature data. The present calculations provide benchmark data for the diagnostic and for the modeling of astrophysical and laboratory plasmas.